A Fractional Order Model to Study the Effectiveness of Government Measures and Public Behaviours in COVID-19 Pandemic
In this work, we emphasise the dynamical study of spreading COVID-19 in Bangladesh. Considering the uncertainty caused by the limited coronavirus (COVID-19) information, we have taken the modified Susceptible-Asymptomatic-Infectious-Hospitalised-Recovered (SAIHR) compartmental model in a Caputo frac...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-08-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/10/16/3020 |
| _version_ | 1827626657058390016 |
|---|---|
| author | Meghadri Das Guruprasad Samanta Manuel De la Sen |
| author_facet | Meghadri Das Guruprasad Samanta Manuel De la Sen |
| author_sort | Meghadri Das |
| collection | DOAJ |
| description | In this work, we emphasise the dynamical study of spreading COVID-19 in Bangladesh. Considering the uncertainty caused by the limited coronavirus (COVID-19) information, we have taken the modified Susceptible-Asymptomatic-Infectious-Hospitalised-Recovered (SAIHR) compartmental model in a Caputo fractional order system. We have also introduced public behavioural and government policy dynamics in our model. The dynamical nature of the solutions of the system is analysed and we have also calculated the sensitivity index of different parameters. It has been observed that public behaviour and government measures play an important role in controlling the pandemic situation. The government measures (social distance, vaccination, hospitalisation, awareness programme) are more helpful than only public responses to the eradication of the COVID-19 pandemic. |
| first_indexed | 2024-03-09T12:59:41Z |
| format | Article |
| id | doaj.art-4fc4470d36a54aa189546d83b98a65a4 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T12:59:41Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-4fc4470d36a54aa189546d83b98a65a42023-11-30T21:55:37ZengMDPI AGMathematics2227-73902022-08-011016302010.3390/math10163020A Fractional Order Model to Study the Effectiveness of Government Measures and Public Behaviours in COVID-19 PandemicMeghadri Das0Guruprasad Samanta1Manuel De la Sen2Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, IndiaDepartment of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, IndiaInstitute of Research and Development of Processes, University of the Basque Country, 48940 Leioa, SpainIn this work, we emphasise the dynamical study of spreading COVID-19 in Bangladesh. Considering the uncertainty caused by the limited coronavirus (COVID-19) information, we have taken the modified Susceptible-Asymptomatic-Infectious-Hospitalised-Recovered (SAIHR) compartmental model in a Caputo fractional order system. We have also introduced public behavioural and government policy dynamics in our model. The dynamical nature of the solutions of the system is analysed and we have also calculated the sensitivity index of different parameters. It has been observed that public behaviour and government measures play an important role in controlling the pandemic situation. The government measures (social distance, vaccination, hospitalisation, awareness programme) are more helpful than only public responses to the eradication of the COVID-19 pandemic.https://www.mdpi.com/2227-7390/10/16/3020Caputo fractional differential equationCOVID-19SAIHR compartmental modelstabilitysensitivity index |
| spellingShingle | Meghadri Das Guruprasad Samanta Manuel De la Sen A Fractional Order Model to Study the Effectiveness of Government Measures and Public Behaviours in COVID-19 Pandemic Mathematics Caputo fractional differential equation COVID-19 SAIHR compartmental model stability sensitivity index |
| title | A Fractional Order Model to Study the Effectiveness of Government Measures and Public Behaviours in COVID-19 Pandemic |
| title_full | A Fractional Order Model to Study the Effectiveness of Government Measures and Public Behaviours in COVID-19 Pandemic |
| title_fullStr | A Fractional Order Model to Study the Effectiveness of Government Measures and Public Behaviours in COVID-19 Pandemic |
| title_full_unstemmed | A Fractional Order Model to Study the Effectiveness of Government Measures and Public Behaviours in COVID-19 Pandemic |
| title_short | A Fractional Order Model to Study the Effectiveness of Government Measures and Public Behaviours in COVID-19 Pandemic |
| title_sort | fractional order model to study the effectiveness of government measures and public behaviours in covid 19 pandemic |
| topic | Caputo fractional differential equation COVID-19 SAIHR compartmental model stability sensitivity index |
| url | https://www.mdpi.com/2227-7390/10/16/3020 |
| work_keys_str_mv | AT meghadridas afractionalordermodeltostudytheeffectivenessofgovernmentmeasuresandpublicbehavioursincovid19pandemic AT guruprasadsamanta afractionalordermodeltostudytheeffectivenessofgovernmentmeasuresandpublicbehavioursincovid19pandemic AT manueldelasen afractionalordermodeltostudytheeffectivenessofgovernmentmeasuresandpublicbehavioursincovid19pandemic AT meghadridas fractionalordermodeltostudytheeffectivenessofgovernmentmeasuresandpublicbehavioursincovid19pandemic AT guruprasadsamanta fractionalordermodeltostudytheeffectivenessofgovernmentmeasuresandpublicbehavioursincovid19pandemic AT manueldelasen fractionalordermodeltostudytheeffectivenessofgovernmentmeasuresandpublicbehavioursincovid19pandemic |